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Finding the Fourth Proportional to 7,162.16, 10,737.16 and 3,000.17

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Solution

The fourth proportional to 7,162.16, 10,737.16 and 3,000.17 is: 4,497.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,162.16 : 10,737.16 = 3,000.17 : x
  2. Step 2: Convert to fraction form
    7,162.16/10,737.16 = 3,000.17/x
  3. Step 3: Cross multiply
    7,162.16x = 10,737.16 × 3,000.17
  4. Step 4: Simplify right side
    7,162.16x = 32,213,324.66
  5. Step 5: Solve for x
    x = 32,213,324.66/7,162.16
  6. Step 6: Final answer
    x = 4,497.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.